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Simplifying -7(2r + -6) = 28 + 5r Reorder the terms: -7(-6 + 2r) = 28 + 5r (-6 * -7 + 2r * -7) = 28 + 5r (42 + -14r) = 28 + 5r Solving 42 + -14r = 28 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 42 + -14r + -5r = 28 + 5r + -5r Combine like terms: -14r + -5r = -19r 42 + -19r = 28 + 5r + -5r Combine like terms: 5r + -5r = 0 42 + -19r = 28 + 0 42 + -19r = 28 Add '-42' to each side of the equation. 42 + -42 + -19r = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -19r = 28 + -42 -19r = 28 + -42 Combine like terms: 28 + -42 = -14 -19r = -14 Divide each side by '-19'. r = 0.7368421053 Simplifying r = 0.7368421053
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